Open Access Open Access  Restricted Access Subscription Access

An Optimal Algorithm Based on Kinetic-Molecular Theory with Artificial Memory to Solving Economic Dispatch Problem


Affiliations
1 College of Information and Engineering, Xiangtan University, Xiangtan - 411105, China
2 College of Electric and Information Engineering, Hunan University, Changsha - 410000, China
 

Economic dispatch (ED) problem exhibits highly nonlinear characteristics, such as prohibited operating zone, ramp rate limits and non-smooth property. Due to its nonlinear characteristics, it is hard to achieve the expected solution by classical methods. To overcome the challenging difficulty, an improved optimization algorithm based on kinetic-molecular theory (KMTOA) was proposed to solve the ED problem in this article. Memory principle is employed into the improved algorithm. By accepting strengthened or weakened stimulus strength, the memory is divided into four states; instant-term, short-term, long-term and forgotten states to update the memory value iteratively. In this way, more and more elites appear in the long-term memory library. Simultaneously, the improved KMTOA, according to the elite population-based guide on the other population, enhances the search ability and avoids the premature convergence which usually suffered in traditional KMTOA. The designs are able to enhance the performance of KMTOA, which has been demonstrated on 12 benchmark functions. To validate the proposed algorithm, we also use three different systems to demonstrate its efficiency and feasibility in solving the ED problem. The experimental results show that the improved KMTOA can achieve higher quality solutions in ED problems.

Keywords

Artificial Memory, Benchmark Function, Economic Dispatch, KMTOA.
User
Notifications
Font Size

  • Elsholkami, M. and Elkamel, A., General optimization model for the energy planning of industries including renewable energy: a case study on oil sands. AICHE. J., 2017, 63, 610–638.
  • Jadoun, V. K et al., Dynamically controlled particle swarm optimization for large-scale nonconvex economic dispatch problems. Int. T. Electr. Energy, 2016, 25(11), 3060–3074.
  • Granville, S., Optimal reactive dispatch through interior point methods. IEEE T. Power Syst., 1994, 9(1), 136–146.
  • Parikh, J. and Chattopadhyay, D., A multi-area linear programming approach for analysis of economic operation of the Indian power system. IEEE T. Power Syst., 1996, 11(1), 52–58.
  • Shoults, S., Chakravarty, R. K. and Lowther, R., Quasi-static economic dispatch using dynamic programming with an improved zoom feature. Electr. Pow. Syst. Res., 1996, 39(3), 215–222.
  • Gaing, Z. L., Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE T. Power Syst., 2003, 18(3), 1187–1195.
  • Priya, R. D. and Sivaraj, R., Dynamic genetic algorithm-based feature selection and incomplete value imputation for microarray classification. Curr. Sci., 2017, 112(1), 126.
  • Subbaraj, P., Rengaraj, R. and Salivahanan, S., Enhancement of Self-adaptive real-coded genetic algorithm using Taguchi method for economic dispatch problem. Appl. Soft Comput., 2011, 11(1), 83–92.
  • Zakeri, N. S. S. and Pashazadeh, S., Application of neural network based on genetic algorithm in predicting magnitude of earthquake in North Tabriz Fault (NW Iran). Curr. Sci., 2015, 109(9), 1722.
  • Nomana, N. and Ibab, H., Differential evolution for economic load dispatch problems. Electric. Pow. Syst. Res., 2008, 78(8), 1322–1331.
  • Basu, M., Quasi-oppositional differential evolution for optimal reactive power dispatch. Int. J. Elec. Power., 2016, 78, 29–40.
  • Sen, T. and Mathur, H. D., A new approach to solve economic dispatch problem using a hybrid ACO–ABC–HS optimization algorithm. Int. J. Elec. Power., 2016, 78, 735–744.
  • Vlachogiannis, J. G. and Lee, K. Y., Economic load dispatch – a comparative study on heuristic optimization techniques with an improved coordinated aggregation-based PSO. IEEE T. Power Syst., 2009, 24(2), 991–1001.
  • Kuo, C. C., A novel coding scheme for practical economic dispatch by modified particle swarm approach. IEEE T. Power Syst., 2008, 23(4), 1825–1835.
  • Kumar, R., Sharma, D. and Sadu, A., A hybrid multi-agent based particle swarm optimization algorithm for economic power dispatch. Int. J. Elec. Power., 2011, 33(1), 115–123.
  • Niknam, T., A new fuzzy adaptive hybrid particle swarm optimization algorithm for non-linear, non-smooth and non-convex economic dispatch problem. Appl. Energ., 2010, 87(1), 327–339.
  • Pradhan, M., Roy, P. K. and Pal, T. Grey wolf optimization applied to economic load dispatch problems. Int. J. Elec. Power., 2016, 83, 325–334.
  • Chen, G. Y. and Ding, X., Optimal economic dispatch with valve loading effect using self-adaptive firefly algorithm. Appl. Intell., 2015, 42(2), 1–13.
  • Beigvand, S. D., Abdi, H. and Scala, M. L., Combined heat and power economic dispatch problem using gravitational search algorithm. Electr. Pow. Syst. Res., 2016, 133, 160–172.
  • Aragón, V. S., Esquivel, S. C. and Coello, C. A. C., An immune algorithm with power redistribution for solving economic dispatch problems. Inf. Sci., 2014, 295, 609–632.
  • Navin, N. K. and Sharma, R., A fuzzy reinforcement learning approach to thermal unit commitment problem. Neural Comput. Appl., 2017, 1109(59), 1–14.
  • Fan, C. D. et al., Optimization algorithm based on kineticmolecular theory. J. Cent. South Univ., 2013, 20, 3504–3512.
  • Mirjalili, S., Mirjalili, S. M. and Lewis, A., Grey wolf optimizer. Adv. Eng. Softw., 2014, 69(3), 46–61.
  • Voglis, C. et al., MEMPSODE: a global optimization software based on hybridization of population-based algorithms and local searches. Comput. Phys. Commun., 2012, 183(5), 1139–1154.
  • Zhou, D. W. et al., Randomization in particle swarm optimization for global search ability. Exp. Syst. Appl., 2011, 38(12), 15356–15364.
  • Adarsh, B. R. et al., Economic dispatch using chaotic bat algorithm, Energy, 2016, 96, 666–675.
  • Coelho, L. D. S., Souza, R. C. T. and Mariani, V. C., Improved differential evolution approach based on cultural algorithm and diversity measure applied to solve economic load dispatch problems Math. Comput. Simulat., 2009, 79 10), 3136–3147.
  • Coelho, L. D. S. and Mariani, V. C., An efficient cultural selforganizing migrating strategy for economic dispatch optimization with valve-point effect. Energy Convers. Manage., 2010, 51(12), 2580–2587.
  • Meng, K. et al., Quantum-inspired particle swarm optimization for valve-point economic load dispatch. IEEE T. Power Syst., 2010, 25(1), 215–222.
  • Wang, Y., Li, B. and Weise, T., Estimation of distribution and differential evolution cooperation for large scale economic load dispatch optimization of power systems. Inf. Sci., 2010, 180(12), 2405–2420.
  • Derrac, J. et al., A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm Evol. Comput., 2011, 1(1), 3–18.

Abstract Views: 266

PDF Views: 75




  • An Optimal Algorithm Based on Kinetic-Molecular Theory with Artificial Memory to Solving Economic Dispatch Problem

Abstract Views: 266  |  PDF Views: 75

Authors

Chaodong Fan
College of Information and Engineering, Xiangtan University, Xiangtan - 411105, China
Jie Li
College of Information and Engineering, Xiangtan University, Xiangtan - 411105, China
Lingzhi Yi
College of Information and Engineering, Xiangtan University, Xiangtan - 411105, China
Leyi Xiao
College of Electric and Information Engineering, Hunan University, Changsha - 410000, China
Biaoming Zhu
College of Information and Engineering, Xiangtan University, Xiangtan - 411105, China
Ke Ren
College of Information and Engineering, Xiangtan University, Xiangtan - 411105, China

Abstract


Economic dispatch (ED) problem exhibits highly nonlinear characteristics, such as prohibited operating zone, ramp rate limits and non-smooth property. Due to its nonlinear characteristics, it is hard to achieve the expected solution by classical methods. To overcome the challenging difficulty, an improved optimization algorithm based on kinetic-molecular theory (KMTOA) was proposed to solve the ED problem in this article. Memory principle is employed into the improved algorithm. By accepting strengthened or weakened stimulus strength, the memory is divided into four states; instant-term, short-term, long-term and forgotten states to update the memory value iteratively. In this way, more and more elites appear in the long-term memory library. Simultaneously, the improved KMTOA, according to the elite population-based guide on the other population, enhances the search ability and avoids the premature convergence which usually suffered in traditional KMTOA. The designs are able to enhance the performance of KMTOA, which has been demonstrated on 12 benchmark functions. To validate the proposed algorithm, we also use three different systems to demonstrate its efficiency and feasibility in solving the ED problem. The experimental results show that the improved KMTOA can achieve higher quality solutions in ED problems.

Keywords


Artificial Memory, Benchmark Function, Economic Dispatch, KMTOA.

References





DOI: https://doi.org/10.18520/cs%2Fv115%2Fi3%2F454-464